An index product formula for the study of elliptic resonance problems

DOI10.1016/0022-0396(85)90086-5zbMath0562.34038OpenAlexW2037679997MaRDI QIDQ2266807

Krzysztof P. Rybakowski

Publication date: 1985

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(85)90086-5

zbMATH Keywords

semilinear parabolic equationlocal center manifoldindex product formula

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40)

Related Items

The continuation of the Conley index for singular perturbations and the Conley indices in gradient-like systems. I ⋮ Multiple solutions of asymptotically homogeneous problems ⋮ A homotopy index continuation method and periodic solutions of second- order gradient systems ⋮ Nontrivial solutions of elliptic boundary value problems with resonance at zero

Cites Work

• Homotopiemengen und ihre induzierten Abbildungen. I.-II.: Sphärenähnliche Mannigfaltigkeiten
• Trajectories joining critical points of nonlinear parabolic and hyperbolic partial differential equations
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• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces
• Linearization near an integral manifold
• A Morse equation in Conley's index theory for semiflows on metric spaces
• On the Homotopy Index for Infinite-Dimensional Semiflows
• A generalized Morse theory
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